Answer :
Sure, let's go step-by-step to convert [tex]\(54^\circ F\)[/tex] to Celsius using the given formula:
1. State the formula:
The formula to convert Fahrenheit to Celsius is:
[tex]\[
C = \frac{5}{9} \cdot (F - 32)
\][/tex]
2. Identify the Fahrenheit temperature:
We need to convert [tex]\(54^\circ F\)[/tex].
3. Substitute the value into the formula:
Substitute 54 for [tex]\(F\)[/tex] in the formula:
[tex]\[
C = \frac{5}{9} \cdot (54 - 32)
\][/tex]
4. Perform the subtraction inside the parentheses:
Calculate [tex]\(54 - 32\)[/tex]:
[tex]\[
54 - 32 = 22
\][/tex]
5. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
Now multiply 22 by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \cdot 22
\][/tex]
6. Final calculation:
Performing the multiplication gives us:
[tex]\[
C \approx 12.222
\][/tex]
So, the final result is:
[tex]\[
54^\circ F \approx 12.222^\circ C
\][/tex]
Therefore, [tex]\(54^\circ F\)[/tex] is approximately [tex]\(12.222^\circ C\)[/tex].
1. State the formula:
The formula to convert Fahrenheit to Celsius is:
[tex]\[
C = \frac{5}{9} \cdot (F - 32)
\][/tex]
2. Identify the Fahrenheit temperature:
We need to convert [tex]\(54^\circ F\)[/tex].
3. Substitute the value into the formula:
Substitute 54 for [tex]\(F\)[/tex] in the formula:
[tex]\[
C = \frac{5}{9} \cdot (54 - 32)
\][/tex]
4. Perform the subtraction inside the parentheses:
Calculate [tex]\(54 - 32\)[/tex]:
[tex]\[
54 - 32 = 22
\][/tex]
5. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
Now multiply 22 by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \cdot 22
\][/tex]
6. Final calculation:
Performing the multiplication gives us:
[tex]\[
C \approx 12.222
\][/tex]
So, the final result is:
[tex]\[
54^\circ F \approx 12.222^\circ C
\][/tex]
Therefore, [tex]\(54^\circ F\)[/tex] is approximately [tex]\(12.222^\circ C\)[/tex].
